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Finding the Third Proportional to 60,157.69 and 130,931.44

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Solution

The third proportional to 60,157.69 and 130,931.44 is: 284,968.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,157.69 : 130,931.44 = 130,931.44 : x
  2. Step 2: Convert to fraction form
    60,157.69/130,931.44 = 130,931.44/x
  3. Step 3: Cross multiply
    60,157.69x = 130,931.44 × 130,931.44
  4. Step 4: Simplify right side
    60,157.69x = 17,143,041,325.82
  5. Step 5: Solve for x
    x = 17,143,041,325.82/60,157.69
  6. Step 6: Final answer
    x = 284,968.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.